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Finding the Third Proportional to 337,570 and 474,754

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Solution

The third proportional to 337,570 and 474,754 is: 667,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,570 : 474,754 = 474,754 : x
  2. Step 2: Convert to fraction form
    337,570/474,754 = 474,754/x
  3. Step 3: Cross multiply
    337,570x = 474,754 × 474,754
  4. Step 4: Simplify right side
    337,570x = 225,391,360,516
  5. Step 5: Solve for x
    x = 225,391,360,516/337,570
  6. Step 6: Final answer
    x = 667,687.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.